Answer:
The correct option is A....
Step-by-step explanation:
Look at the attached picture:
A=(4,7)
B=(7,4)
The standard form of circle equation is:
(x-h)^2 +(y-k)^2 = r^2
Here h and k is the centre which is (4,4)
radius = 7-4 = 3
Now use the formula to find the answer:
(x-h)^2 +(y-k)^2 = r^2
(x - 4)^2 + (y - 4)^2 = 3^2
If we expand the formula we get:
x^2 - 8x + 16 + y^2 - 8y + 16 = 9
x^2 - 8x + y^2 - 8y + 23 = 0
Thus the correct option is A....
The answer is 16 different combinations. All you do is multiply all the numbers of different results.
Hope this helps!! :)
Answer:
Step-by-step explanation:
Volume = 198 ft
length * width * height = 198
(x - 1) * (x + 4) * 3 = 198
(x - 1) * (x + 4) = 198/3
(x - 1) * (x + 4) = 66
x*x + x*4 -1*x - 1*4 = 66 {Use FOIL method to multiply}
x² + 4x - x - 4 = 66
x² + 3x - 4 =66
x² + 3x - 4 - 66 = 0
x² + 3x - 70 = 0
Now factorize.
x² + 10x - 7x - 7*10 = 0
x(x +10) - 7(x + 10 ) = 0
(x + 10)(x - 7) = 0
x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}
x = 7
length = x - 1 = 7 - 1 = 6ft
Width = x + 4 = 7 + 4 = 11 ft
Answer:
a.
Step-by-step explanation:
Dilation does not change the direction (slope) of any lines. The slope of the image line is the same as the original when the line is subject to dilation. The y-intercept point (0, -2) will be multiplied by the dilation factor, so will become 4(0, -2) = (0, -8). The dilated line will have equation ...
y = -1/4x -8 . . . . . matches choice A
Step 1: LCM of 24 , 30 and 60 = 120
so 120 is the least no which is divisible by all 24 , 30 and 60
Step 2: factors of 120 will be 2^3 * 3 * 5
so the least perfect square, which is divisible by 24, 30 and 60 will be
(2^3 * 3 * 5) x ( 2 * 3 * 5 ) = 3600
3600
